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Some Combinational Resources of Equal-Tempered Systems · Study

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ArticleSome Combinational Resources of Equal-Tempered Systems

Carlton Gamer1967

Article1967

Some Combinational Resources of Equal-Tempered Systems

36 citations·0/0 files stored·Journal of Music Theory

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Musicology and Musical Analysis Diverse Music Education Insights Music Technology and Sound Studies

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References

1960TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS 1961Set Structure as a Compositional Determinant 1949Genesis of a Music 1964A Theory of Set-Complexes for Music 1961The Long Pattern Hypothesis in Harmony and Hearing 1943A Theory of Evolving Tonality

Cited by

2020Steve Reich’s Signature Rhythm and an Introduction to Rhythmic Qualities 2012Hemiola, Maximal Evenness, and Metric Ambiguity in Late Ligeti 1993Early Indian Heptatonic Scales and Recent Diatonic Theory 1999Defining Modular Transformations 2000Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles 2009Mathematics and the Twelve-Tone System: Past, Present, and Future 1975A Structuralist Approach to the Diatonic Scale 2016Die Vernunft in der Tradition: Neue mathematische Untersuchungen zu den alten Begriffen der Diatonizität

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Papers that cite the same references — the relational fallback while embeddings are still backfilling.

1966Some Uses of Mathematical Concepts in Theories of Musicarticle · 4 shared references 2002Music theory and mathematicschapter · 3 shared references 1974The Structure of All-Interval Seriesarticle · 3 shared references 1965Intervallic Relations in Atonal Musicarticle · 3 shared references 2002Twelve-tone theorychapter · 3 shared references 2009Mathematics and the Twelve-Tone System: Past, Present, and Futureother · 3 shared references

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Year1967

Typearticle

Published1967-01-01

VenueJournal of Music Theory

ISSN-L0022-2909

Languageen

Citations36

Files0 public / 0

ShelfMusicology and Musical Analysis

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doi10.2307/842948

openalex_workW1970431399

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